Q
What is the determinant of a scaling matrix?

Answer & Solution

Answer: Option C
Solution:
The determinant of a scaling matrix depends on the scaling factor.
Related Questions on Average

How do you combine transformation matrices for multiple operations?

A). Add them together

B). Multiply them in reverse order

C). Multiply them in the given order

D). Divide them

What does the identity matrix do?

A). Scales the object

B). Moves the object

C). Rotates the object

D). Leaves the object unchanged

What does a transformation matrix do?

A). Adds two matrices

B). Multiplies two matrices

C). Divides two matrices

D). Subtracts two matrices

What is the result of multiplying two orthogonal matrices?

A). A diagonal matrix

B). A non-orthogonal matrix

C). An identity matrix

D). A reflection matrix

What does a rotation matrix for 90 degrees look like?

A). [[1, 0], [0, 1]]

B). [[0, -1], [1, 0]]

C). [[0, 1], [-1, 0]]

D). [[-1, 0], [0, -1]]

What does a translation matrix look like?

A). [[1, 0], [0, 1]]

B). [[0, 1], [1, 0]]

C). [[1, 0, tx], [0, 1, ty], [0, 0, 1]]

D). [[1, tx], [ty, 1]]

What happens when you apply a translation matrix?

A). Rotates the object

B). Scales the object

C). Moves the object

D). Skews the object

What is the result of applying two translation matrices successively?

A). The object is scaled

B). The object is rotated

C). The object is translated twice

D). The order of translation does not matter

Which matrix operation is used for rotation?

A). Addition

B). Subtraction

C). Multiplication

D). Division

How does a shearing matrix affect an object?

A). Stretches it along one axis

B). Changes its orientation

C). Skews it along one axis

D). Rotates it